1967Journal of Mathematical PhysicsRequires access

Time Behavior of a Reactor and Ergodic Theory of Semigroups

H. Hejtmanek

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Abstract

The solution of the time-dependent neutron transport equation is a semigroup of linear transformations acting on a Banach space. There are some ergodic theorems that can be used to describe the asymptotic behavior of the solution under very general conditions on the semigroup. The results are compared with Wing's famous approach.

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The solution of the time-dependent neutron transport equation is a semigroup of linear transformations acting on a Banach space. There are some ergodic theorems that can be used to describe the asymptotic behavior of the solution under very general conditions on the semigroup. The results are compared with Wing's famous approach.

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Available abstract

The solution of the time-dependent neutron transport equation is a semigroup of linear transformations acting on a Banach space. There are some ergodic theorems that can be used to describe the asymptotic behavior of the solution under very general conditions on the semigroup. The results are compared with Wing's famous approach.

Key concepts: Ergodic theory, Semigroup, Banach space, Mathematics, Space (punctuation), Pure mathematics, Krohn–Rhodes theory, Mathematical analysis

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